A method for real power transfer allocation using multivariable regression analysis

Abstract

A multivariable regression (MVR) approach is proposed to identify the real power transfer between generators and loads. Based on solved load flow results, it first uses modified nodal equation method (MNE) to determine real power contribution from each generator to loads. Then, the results of MNE method and load flow information are utilized to determine suitable regression coefficients using MVR model to estimate the power transfer. The 25-bus equivalent system of south Malaysia is utilized as a test system to illustrate the effectiveness of the MVR output compared to that of the MNE method. The error of the estimate of MVR method ranges from 0.001 4 to 0.007 9. Furthermore, when compared to MNE method, MVR method computes generator contribution to loads within 26.40 ms whereas the MNE method takes 360 ms for the calculation of same real power transfer allocation. Therefore, MVR method is more suitable for real time power transfer allocation.

Keywords

power tracing / multivariable regression / power systems / deregulation

References

[1] ShareefH., MustafaM. W.. Real and reactive power allocation in a competitive market [J]. WSEAS Transactions on Power Systems, 2006, 1(6): 1088-1094

[2] RetaR., VargasA.. Electricity tracing and loss allocation methods based on electric concepts [J]. IEE Proceedings Generation, Transmission and Distribution, 2001, 148(6): 518-522

[3] ChangY. C., LuC. N.. An electricity tracing method with application to power loss allocation [J]. International Journal of Electrical Power and Energy Systems, 2001, 23(1): 13-17

[4] ZobianA., IlicM. D.. Unbundling of transmission and ancillary services-Part I: technical issues [J]. IEEE Transaction on Power Systems, 1997, 12(2): 539-548

[5] TengJ. H.. Power flow and loss allocation for deregulated transmission systems [J]. International Journal of Electrical Power Energy Systems, 2005, 27(4): 327-333

[6] ShareefH., MustafaM. W., KhalidS. N., KhairuddinA., KalamA., OoA. M. T.. Real and reactive power transfer allocation utilizing modified nodal equations [J]. International Journal of Emerging Electric Power Systems, 2008, 9(6): 1-14

[7] BialekJ.. Tracing the flow of electricity [J]. IEE Proceedings Generation Transmission and Distribution, 1996, 143(4): 313-320

[8] WuF. F., NiY., WeiP.. Power transfer allocation for open access using graph theory — Fundamentals and applications in systems without loop flows [J]. IEEE Transactions on Power Systems, 2000, 15(3): 923-929

[9] MustafaM. W., ShareefH., AhmadM. R.. An improved usage allocation method for deregulated transmission system [C]. IEEE Intel Conference on Power Engineering, 2005, Singapore, IEEE Press: 406-411

[10] AbdelkaderS.. Efficient computation algorithm for calculating load contributions to line flows and losses [J]. IEE Proc On Generation, Transmission and Distribution, 2006, 153(4): 391-398

[11] KirschenD., AlianR., StrbacG.. Contributions of individual generators to loads and flows [J]. IEEE Transactions on Power Systems, 1997, 12(1): 1312-1319

[12] ShareefH., MohamedA., KhalidS. N., KhairuddinA.. Real power transfer allocation utilizing support vector machine [C]. IEEE Intel Conference of Electrical Energy and Industrial Electronic Systems, 2009, Penang, Malaysia, IEEE Press: 1-7

[13] SHAREEF H, KHALID S N, MUSTAFA M W, KHAIRUDDIN A. An ANFIS approach for real power transfer allocation [J]. Journal of Applied Mathematics, 2011: 1–14.

[14] HINES W W, MONTGOMERY D C. Probability and statistics in engineering and management science. Statistic mathematical [M]. 3rd ed. John Wiley and Sons.

[15] FARAWAY J J. Practical regression and ANOVA using R [2011-07-01]. http://www.stat.lsa.umich.edu/~faraway/book/.